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동하중을 받는 구조물의 동적특성에 관한 설계 관점에서의 고찰

An Investigation of Dynamic Characteristics of Structures Subjected to Dynamic Load from the Viewpoint of Design


All the loads in the real world are dynamic loads and structural optimization under dynamic loads is very difficult. Thus the dynamic loads are often transformed to static loads by dynamic factors, which are believed equivalent to the dynamic loads. However, due to the difference of load characteristics, there can be considerable differences between the results from static and dynamic analyses. When the natural frequency of a structure is high, the dynamic analysis result is similar to that of static analysis due to the small inertia effect on the behavior of the structure. However, if the natural frequency of the structure is low, the inertia effect should not be ignored. Then, the behavior of the dynamic system is different from that of the static system. The difference of the two cases can be explained from the relationship between the homogeneous and the particular solutions of the differential equation that governs the behavior of the structure. Through various examples, the difference between the dynamic analysis and the static analysis are shown. Also dynamic response optimization results are compared with the results with static loads transformed from dynamic loads by dynamic factors, which show the necessity of the design considering dynamic loads.

참고문헌 (14)

  1. Kang, B.S., Choi, W.S. and Park, GJ., 2000, 'Structural Optimization under Equivalent Static Loads Transformed from Dynamic Loads Based on Displacement,' Transactions of the KSME(A), Vol. 24, No.8, pp. 1949-1957 
  2. Wen, H.M., Reddy, T.Y. and Reid, S.R., 1995, 'Deformation and Failure Clamped Beams under Low Speed Impact Loading,' International Journal of Impact Engineering, Vol. 16, No.3, pp. 435-454 
  3. Chen, X. and Kareem, A., 2001, 'Equivalent Static Wind Loads for Buffeting Response of Bridge,' Journal of Structural Engineering, Vol. 127, No. 12, pp. 1467-1475 
  4. Zhang, Q.L., Vrouwenvelder, A. and Wardenier, J., 2001, 'Dynamic Amplification Factors and EUDL of Bridges under Random Traffic Flows,' Engineering Structures, Vol. 23, No.6, pp. 663-672 
  5. Letchford, C.W and Killen, GP., 2002, 'Equivalent Static Wind Loads for Cantilevered Grandstand Roofs,' Engineering Structures, Vol. 24, No.2, pp. 207-217 
  6. Choi, W.S., Kang. S.C., Shin. MJ. and Park. GJ., 1996, 'Transformation of a Dynamic Load into an Equyivalent Static Load and Shape Optimization of the Road Arm in Self-Propelled Howitzer,' Transactions of the KSME(A), Vol. 20, No. 12, pp. 3767-3781 
  7. Park, K.J., Lee. J.N. and Park. GJ., 2003, 'Structural Shape Optimization under Static Loads Transformed from Dynamic Loads,' Transactions of the KSME(A), Vol. 27,No. 8, pp. 1363-1370 
  8. Thomson, WT., 1993, Theory of Vibration with Applications, Prentice-Hall International, New Jersey, U.S.A 
  9. Erwin, K., 1999, Advanced Engineering Mathematics, John Willy and Sons INC, New York, U.S.A 
  10. Choi, W.S., Kang, B.S. and Park, G.J., 1998, 'Transformation of Dynamic Loads into Equivalent Static Loads Based on Modal Analysis,' Transactions of the KSME(A), Vol. 22, No.7, pp. 1193-1204 
  11. Choi, WS. and Park, GJ., 2000, 'Quasi-Static Structural Optimization Technique Using Equivalent Static Loads Calculated at Every Time Step as a Multiple Loading Condition,' Transactions of the KSME(A), Vol. 24,No. 10, pp. 2568-2580 
  12. Park, G.J. and Kang, B.S., 2003, 'Mathematical Proof for Structural Optimization with Equivalent Static Loads Transformed from Dynamic Loads,' Transactions of the KSME(A), Vol. 27, No.2, pp. 268-275 
  13. Kang, B.S. and Park, GJ., 2005, 'An Overview of Optimization of Structures Subjected to Transient Loads,' Transactions of the KSME(A), Vol. 29, No.3, pp. 369-386 
  14. Kang, B.S. and Park, GJ., 2004, 'Optimization of Flexible Multibody Dynamic Systems Using Equivalent Static Load Method,' Transactions of the KSME(A), Vol. 28, No.1, pp. 48-54 

이 논문을 인용한 문헌 (1)

  1. Jang, Hwan-Hak ; Lee, Hyun-Ah ; Park, Gyung-Jin 2009. "Preliminary Study on Linear Dynamic Response Topology Optimization Using Equivalent Static Loads" 大韓機械學會論文集. Transactions of the Korean Society of Mechanical Engineers. A. A, 33(12): 1401~1409 


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